Information on Result #735547
Linear OA(12875, 16772, F128, 27) (dual of [16772, 16697, 28]-code), using (u, u+v)-construction based on
- linear OA(12822, 386, F128, 13) (dual of [386, 364, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- linear OA(12821, 382, F128, 13) (dual of [382, 361, 14]-code), using an extension Ce(12) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(12818, 382, F128, 11) (dual of [382, 364, 12]-code), using an extension Ce(10) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(1281, 4, F128, 1) (dual of [4, 3, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(12) ⊂ Ce(10) [i] based on
- linear OA(12853, 16386, F128, 27) (dual of [16386, 16333, 28]-code), using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
- linear OA(12853, 16384, F128, 27) (dual of [16384, 16331, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(12851, 16384, F128, 26) (dual of [16384, 16333, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 16383 = 1282−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(1280, 2, F128, 0) (dual of [2, 2, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(1280, s, F128, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(26) ⊂ Ce(25) [i] based on
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(12875, 8386, F128, 2, 27) (dual of [(8386, 2), 16697, 28]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(12875, 1290, F128, 27, 27) (dual of [(1290, 27), 34755, 28]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |